By KAKIHARA YUICHIRO
ISBN-10: 9814759236
ISBN-13: 9789814759236
Information conception is studied from the next issues of view: (1) the idea of entropy as volume of knowledge; (2) the mathematical constitution of data resources (probability measures); and (3) the speculation of data channels. Shannon entropy and Kolmogorov–Sinai entropy are outlined and their simple houses are tested, the place the latter entropy is prolonged to be a linear practical on a definite set of measures. Ergodic and combining houses of desk bound resources are studied in addition to AMS (asymptotically suggest desk bound) sources.
The major function of this booklet is to give info channels within the setting of useful research and operator idea in addition to chance conception. Ergodic, blending, and AMS channels also are thought of intimately with a few illustrations. during this moment variation, channel operators are studied in lots of elements, which generalize traditional channels. additionally Gaussian channels are thought of intimately including Gaussian measures on a Hilbert house. The precise issues bankruptcy offers with gains reminiscent of generalized potential, channels with an intermediate noncommutative approach, and von Neumann algebra procedure for channels. eventually, quantum (noncommutative) details channels are tested in an autonomous bankruptcy, that may be considered as an advent to quantum info conception. Von Neumann entropy is brought and its generalization to a C*-algebra environment is given. uncomplicated effects on quantum channels and entropy transmission also are considered.
Contents:
- Entropy
- Information Sources
- Information Channels
- Channel Operators
- Gaussian Channels
- Special Topics
- Quantum Channels
- References
- Glossaries of Axioms
- Indices
Readership: Graduate scholars and researchers from arithmetic and conversation Engineering.
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ABSTRACT METHODS IN INFORMATION THEORY (SECOND EDITION): 10 (SERIES ON MULTIVARIATE ANALYSIS) by KAKIHARA YUICHIRO
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